To divide 54,164 by 44, we start from the first digit.

First we take the first 2 digits: i.e. 54 divided by 44, which gives 1 remainder 10.

Next, we join the next digit to the remainder and divide again by 44: i.e. 101 divided by 44, which gives 2 remainder 13.

Next, we join the next digit to the remainder and divide again by 44: i.e. 136 divided by 44, which gives 3 remainder 4.

Next, we join the next digit to the remainder and divide again by 44: i.e. 44 divided by 44, which gives 1.

We now joining all the results from our algorithm, to get that 54,164 divided by 44 is 1,231.

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2 years ago

Define the set X = {(x,y)|x > 0,y ≤ √x}.

Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

To learn more about convex sets:

brainly.com/question/12577430

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